MTH1W:
Geometry & Measurement
E1. Geometric and Measurement Relationships
E1.1 research a geometric concept or a measurement system to tell a story about its development and use in a specific culture or community, and describe its relevance in connection to careers and to other disciplines
E1.2 create and analyse designs involving geometric relationships and circle and triangle properties, using various tools
E1.3 resolve problems involving different units within a measurement system and between measurement systems, including those from various cultures or communities, using various representations and technology, when appropriate
E1.4 show how changing one or more dimensions of a two-dimensional shape and a three-dimensional object affects perimeter/circumference, area, surface area, and volume, using technology when appropriate
This Desmos activity investigates how changes to the side lengths of rectangular prisms affect their volume.
Students will…
learn about and test mathematical conjectures
develop spatial reasoning and engage in various mathematical processes by highlighting the 3V Strategy: Visualize, Verbalize, Verify
make connections between visual and algebraic representations of volume
The lesson includes a meaningful note PDF and a printable teacher guide with instructional tips, student prompts and space to jot your ideas, reflections, observations, etc.
E1.5 solve problems involving the side-length relationship for right triangles in real-life situations, including problems that involve composite shapes
E1.6 solve problems using the relationships between the volume of prisms and pyramids and between the volume of cylinders and cones, involving various units of measure
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